Greatest Common Factor of 40 and 6635
GCF(40, 6635) = 5, Greatest common factor of 40 and 6635 is 5. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 40 and 6635. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 40 and 6635 by prime factorization method
We will first find the prime factorization of 40 and 6635.
Prime Factorization of 40 is 1, 2, 2, 2, 5 and Prime Factorization of 6635 is 1, 5, 1327.
- Factorize\( (40) = \) \(1\times 2\times 2\times 2\times 5\)
- Factorize\( (6635) = \) \(1\times 5\times 1327\)
Now we need to find any which are common for each number (1, 5) and multiply these numbers together.
\(GCF(40, 6635) = 1\times 5 = 5\).
Greatest Common Factor of 40 and 6635 by matching factors method
List of positive integers factors of 40 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 40
List of positive integers factors of 6635 leaving a remainder zero is 1, 5, 1327, 6635
As you can see, 5 is the greatest and common number that 40 and 6635 divides into.
So the greatest common factor 40 and 6635 is 5.
\(GCF(40, 6635) = 5\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
